{"id":"vidhyamitra:city-day:beijing:1981-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/beijing/1981-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-12-15","date_display":"December 15, 1981 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1981,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444953.770833,"kali_year":5083,"ahargana":1856488.2708,"sun":{"sidereal_longitude":239.037,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.4674,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.4304,"elapsed_within_tithi_degrees":0.4304},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.4674,"elapsed_within_degrees":0.8008},"yoga":{"number":26,"name":"Indra","sum_longitude":346.5045},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1981,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444953.770833,"ahargana":1856488.2708,"kali_year":5083,"ayanamsa_lahiri":23.6009,"grahas":{"sun":{"sidereal_longitude":239.37794399999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":110.030844,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":1.0228},"mars":{"sidereal_longitude":156.16234400000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.093344,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":190.15604400000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":280.5126439999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":176.45094400000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":94.3174,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.3174,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1981,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444953.770833,"kali_year":5083,"ahargana":1856488.2708,"sun":{"sidereal_longitude":239.037,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.4674,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.4304,"elapsed_within_tithi_degrees":0.4304},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.4674,"elapsed_within_degrees":0.8008},"yoga":{"number":26,"name":"Indra","sum_longitude":346.5045},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.023,"elongation":131.57},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.023,"opposition_distance":48.43}},"eclipse_window_40days":[]},"city":{"slug":"beijing","name":"Beijing, Beijing","lat":39.9075,"lon":116.3972,"tz_offset_hours":8,"state":"Beijing","country":"CN","tier":"mega"},"tier2":{"city":{"slug":"beijing","name":"Beijing, Beijing","lat":39.9075,"lon":116.3972,"tz_offset_hours":8,"state":"Beijing","country":"CN","tier":"mega"},"sunriseLocal":"07:29","sunsetLocal":"16:51","solarNoonLocal":"12:10","dayLengthHours":9.3602744469749,"dayLengthDisplay":"9 Hours 21 Mins 37 Secs","nightLengthDisplay":"14 Hours 38 Mins 23 Secs","moonriseLocal":"20:31","moonsetLocal":"10:34","rahuKala":{"name":"Rāhu Kāla","start":"14:31","end":"15:41","startHours":14.510623027850855,"endHours":15.680657333722717,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:00","startHours":9.830485804363404,"endHours":11.000520110235268,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:10","end":"13:20","startHours":12.17055441610713,"endHours":13.340588721978992,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"09:59","startHours":9.674481230247157,"endHours":9.986490378479653,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:53","end":"08:08","startHours":7.8804286279103,"endHours":8.130035946496298,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:29","startHours":11.858545267874634,"endHours":12.482563564339626,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:15","end":"06:52","startHours":6.242380599689692,"endHours":6.866398896154686,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:29","startHours":6.710394322038438,"endHours":7.490417192619679,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:21","startHours":13.730600157269613,"endHours":14.354618453734606,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:39","end":"17:03","startHours":16.65069163959458,"endHours":17.05069163959458,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:51","end":"17:14","startHours":16.85069163959458,"endHours":17.2407030748852,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:36","end":"18:21","startHours":16.60069163959458,"endHours":18.35069163959458,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:29","startHours":23.858545267874632,"endHours":24.482563564339628,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:29","end":"08:40","startHours":7.490417192619679,"endHours":8.660451498491541,"quality":"inauspicious"},{"name":"Udveg","start":"08:40","end":"09:50","startHours":8.660451498491541,"endHours":9.830485804363404,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:00","startHours":9.830485804363404,"endHours":11.000520110235268,"quality":"neutral"},{"name":"Labha","start":"11:00","end":"12:10","startHours":11.000520110235268,"endHours":12.17055441610713,"quality":"auspicious"},{"name":"Amṛta","start":"12:10","end":"13:20","startHours":12.17055441610713,"endHours":13.340588721978992,"quality":"auspicious"},{"name":"Kāla","start":"13:20","end":"14:31","startHours":13.340588721978992,"endHours":14.510623027850855,"quality":"inauspicious"},{"name":"Śubha","start":"14:31","end":"15:41","startHours":14.510623027850855,"endHours":15.680657333722717,"quality":"auspicious"},{"name":"Roga","start":"15:41","end":"16:51","startHours":15.680657333722717,"endHours":16.85069163959458,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:51","end":"18:41","startHours":16.85069163959458,"endHours":18.680657333722717,"quality":"inauspicious"},{"name":"Śubha","start":"18:41","end":"20:31","startHours":18.680657333722717,"endHours":20.510623027850855,"quality":"auspicious"},{"name":"Roga","start":"20:31","end":"22:20","startHours":20.510623027850855,"endHours":22.340588721978992,"quality":"inauspicious"},{"name":"Udveg","start":"22:20","end":"00:10","startHours":22.340588721978992,"endHours":24.17055441610713,"quality":"inauspicious"},{"name":"Chala","start":"00:10","end":"02:00","startHours":24.17055441610713,"endHours":26.000520110235264,"quality":"neutral"},{"name":"Labha","start":"02:00","end":"03:50","startHours":26.000520110235264,"endHours":27.830485804363406,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:40","startHours":27.830485804363406,"endHours":29.66045149849154,"quality":"auspicious"},{"name":"Kāla","start":"05:40","end":"07:29","startHours":29.66045149849154,"endHours":31.49041719261968,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:29","end":"08:29","startHours":7.490417192619679,"endHours":8.49041719261968,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:29","end":"09:29","startHours":8.49041719261968,"endHours":9.49041719261968,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:29","end":"10:29","startHours":9.49041719261968,"endHours":10.49041719261968,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:29","end":"11:29","startHours":10.49041719261968,"endHours":11.49041719261968,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:29","end":"12:29","startHours":11.49041719261968,"endHours":12.49041719261968,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:29","end":"13:29","startHours":12.49041719261968,"endHours":13.49041719261968,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:29","end":"14:29","startHours":13.49041719261968,"endHours":14.49041719261968,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:29","end":"15:29","startHours":14.49041719261968,"endHours":15.49041719261968,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:29","end":"16:29","startHours":15.49041719261968,"endHours":16.49041719261968,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:29","end":"17:29","startHours":16.49041719261968,"endHours":17.49041719261968,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:29","end":"18:29","startHours":17.49041719261968,"endHours":18.49041719261968,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:29","end":"19:29","startHours":18.49041719261968,"endHours":19.49041719261968,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:29","end":"20:29","startHours":19.49041719261968,"endHours":20.49041719261968,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:29","end":"21:29","startHours":20.49041719261968,"endHours":21.49041719261968,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:29","end":"22:29","startHours":21.49041719261968,"endHours":22.49041719261968,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:29","end":"23:29","startHours":22.49041719261968,"endHours":23.49041719261968,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:29","end":"00:29","startHours":23.49041719261968,"endHours":24.49041719261968,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:29","end":"01:29","startHours":24.49041719261968,"endHours":25.49041719261968,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:29","end":"02:29","startHours":25.49041719261968,"endHours":26.49041719261968,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:29","end":"03:29","startHours":26.49041719261968,"endHours":27.49041719261968,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:29","end":"04:29","startHours":27.49041719261968,"endHours":28.49041719261968,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:29","end":"05:29","startHours":28.49041719261968,"endHours":29.49041719261968,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:29","end":"06:29","startHours":29.49041719261968,"endHours":30.49041719261968,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:29","end":"07:29","startHours":30.49041719261968,"endHours":31.49041719261968,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.250376826230287,"eotMinutes":4.177935033572184,"ayanamsa":23.6009}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"beijing"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 15, 1981 CE · Beijing, Beijing · Vidhyamitra","description":"December 15, 1981 CE for Beijing, Beijing: Kṛṣṇa Pañcamī, sūryodaya 07:29, sūryāsta 16:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/beijing/1981-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/beijing/1981-12-15","sa":"https://sa.vidhyamitra.com/city/beijing/1981-12-15","hi":"https://hi.vidhyamitra.com/city/beijing/1981-12-15","x-default":"https://vidhyamitra.com/city/beijing/1981-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:10:44.255Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-02T03:10:44.255Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:10:44.255Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}